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\caption{More Descriptive Statistics for Chilean Choice Applicants\label{tabDescriptiveStats-moreStats}}
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  &\multicolumn{1}{c}{(1)} &\multicolumn{1}{c}{(2)} &\multicolumn{1}{c}{(3)} &\multicolumn{1}{c}{(4)} &\multicolumn{1}{c}{(5)} &\multicolumn{1}{c}{(6)} &\multicolumn{1}{c}{(7)} &\multicolumn{1}{c}{(8)}\\
  &\multicolumn{1}{c}{All} &\multicolumn{1}{c}{Economically} &\multicolumn{1}{c}{Not} &\multicolumn{1}{c}{Pop-up} &\multicolumn{1}{c}{Risky} &\multicolumn{1}{c}{Around} &\multicolumn{1}{c}{RCT.} &\multicolumn{1}{c}{Survey}\\
  &\multicolumn{1}{c}{} &\multicolumn{1}{c}{Vulnerable} &\multicolumn{1}{c}{Economically} &\multicolumn{1}{c}{eligible} &\multicolumn{1}{c}{(predicted} &\multicolumn{1}{c}{Pop-up} &\multicolumn{1}{c}{sample} &\multicolumn{1}{c}{sample}\\
  &\multicolumn{1}{c}{} &\multicolumn{1}{c}{} &\multicolumn{1}{c}{Vulnerable} &\multicolumn{1}{c}{} &\multicolumn{1}{c}{risk$>$.3)} &\multicolumn{1}{c}{Cutoff} &\multicolumn{1}{c}{(2020)} &\multicolumn{1}{c}{(2020)}\\\midrule

N  & 1,168,706 & 575,521 & 593,185 & 848,795 & 233,678 & 84,517 & 19,213 & 48,929 \\ 
\%  & 1.00 & 0.49 & 0.51 & 0.73 & 0.20 & 0.07 & 0.02 & 0.04 \\ 
\\
\multicolumn{9}{l}{\textit{A. Application behavior}} \\
Add as last  & 0.18 & 0.16 & 0.20 & 0.18 & 0.38 & 0.26 & 0.27 & 0.22 \\ 
Add to middle  & 0.03 & 0.02 & 0.03 & 0.02 & 0.03 & 0.03 & 0.03 & 0.03 \\ 
Add as first  & 0.02 & 0.02 & 0.02 & 0.02 & 0.02 & 0.02 & 0.01 & 0.02 \\ 
Change order  & 0.04 & 0.03 & 0.05 & 0.03 & 0.04 & 0.05 & 0.04 & 0.04 \\ 
Change top 1  & 0.05 & 0.04 & 0.05 & 0.04 & 0.05 & 0.05 & 0.04 & 0.04 \\ 
Delete any  & 0.05 & 0.04 & 0.05 & 0.04 & 0.03 & 0.04 & 0.04 & 0.04 \\ 
Delete all  & 0.00 & 0.00 & 0.00 & 0.00 & 0.01 & 0.00 & 0.00 & 0.00 \\ 
\\
\multicolumn{9}{l}{\textit{B. Placement}} \\
Placed 2nd  & 0.13 & 0.13 & 0.14 & 0.13 & 0.12 & 0.19 & 0.12 & 0.14 \\ 
Placed 3rd  & 0.06 & 0.06 & 0.07 & 0.06 & 0.08 & 0.10 & 0.07 & 0.06 \\ 
\\
\multicolumn{9}{l}{\textit{C. School capacity available after placement}} \\
Share of total seats   & 0.42 & 0.41 & 0.42 & 0.42 & 0.50 & 0.39 & 0.44 & 0.50 \\ 
Share of seats in free schools  & 0.46 & 0.45 & 0.47 & 0.47 & 0.55 & 0.44 & 0.52 & 0.55 \\ 
\\
\multicolumn{9}{l}{\textit{D. Attributes of enrolled school}} \\
Value added  & 0.08 & 0.03 & 0.12 & 0.08 & 0.12 & 0.15 & 0.17 & 0.11 \\ 
Total enrollment per grade  & 88.79 & 89.52 & 88.06 & 87.50 & 83.29 & 101.42 & 70.10 & 92.62 \\ 
\\
\multicolumn{9}{l}{\textit{E. Classification by true risk of initial attempt}} \\
.25 quantile $|$$>$0  & 0.28 & 0.23 & 0.32 & 0.29 & 0.52 & 0.15 & 0.41 & 0.30 \\ 
.50 quantile $|$$>$0  & 0.62 & 0.56 & 0.66 & 0.64 & 0.79 & 0.28 & 0.63 & 0.65 \\ 
.75 quantile $|$$>$0  & 0.92 & 0.91 & 0.93 & 0.94 & 0.99 & 0.42 & 0.87 & 0.94 \\ 
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\floatfoot{\footnotesize
\textit{Notes. }N: 1,168,706 (20\% from 2018, 41\% from 2019 and 39\% from 2020). Panels are as in Table \ref{tabDescriptiveStats}. All statistics are means in the population defined by the column header. ``Pop-up eligible'' (col. 4) are students who submitted applications that received a risk prediction. ``Risky'' (col. 5) is applicants whose first attempt had a predicted risks $>$ 0.3. ``Around pop-up cutoff'' (col. 6) are applicants whose first attempt had a predicted risk in $[$0.1,0.5$]$.   ``RCT sample'' (column 7) is applicants in treatment or control group of the 2020 RCT design. ``Survey sample'' (column 8) is applicants who completed the 2020 school choice survey. Selected row variable definitions are as follows. ``Economically vulnerable'' is an SES measure computed by Mineduc. ``Rural'' is an indicator if students live in rural areas. ``Length of initial/final attempt'' is the  number of schools on an applicants first and final choice application. ``Total attempts'' is the number of times an applicant submitted an application to the centralized system. Application change and addition variables describe the share of applicants making different kinds of changes applicants make between their first and final submission. ``Placed in pref/1st/2nd/3rd'' are indicators for any placement or for placement in the listed rank. ``2nd round'' variables describe participation and placement outcomes in the second centralized placement round. ``Share of total seats/seats in free schools'' is the share of seats in all schools/in schools without fees unfilled after the first application round in a student's local market. Value added and school characteristic variables described in Online Appendix \ref{app:data}. VA is calculated only for grades 8 and below. True risk of initial attempt variables describe the nonplacement risk of an applicant's initial application, evaluated using ex post observed applications. Panel F variables (School capacity available after placement)  are calculated at a local market level defined for each student.
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